![]() 点击照片看详细介绍 Lebesgue formulated the theory of measure in 1901 and the following year he gave the definition of the Lebesgue integral that generalises the notion of the Riemann integral. ![]() 点击照片看详细介绍 Lagrange excelled in all fields of analysis and number theory and analytical and celestial mechanics. 点击照片看详细介绍 Kummer's main achievement was the extension of results about the integers to other integral domains by introducing the concept of an ideal. He became interested in group theory through Kronecker and Klein and proved the uniqueness of the factor groups in a composition series. 点击照片看详细介绍 Hölder worked on the convergence of Fourier series and in 1884 he discovered the inequality now named after him. This states that the number of primes < n tends to infinity as fast as n/log e n. 点击照片看详细介绍 Jacques Hadamard was a French mathematician whose most important result is the prime number theorem which he proved in 1896. His work has had an immense influence in many areas. 点击照片看详细介绍 Gauss worked in a wide variety of fields in both mathematics and physics incuding number theory, analysis, differential geometry, geodesy, magnetism, astronomy and optics. He established the partial differential equation governing heat diffusion and solved it by using infinite series of trigonometric functions. 点击照片看详细介绍 Fourier studied the mathematical theory of heat conduction. He is also important in the foundations of the calculus. 点击照片看详细介绍 Pierre de Fermat was a French lawyer and government official most remembered for his work in number theory in particular for Fermat's Last Theorem. 点击照片看详细介绍 Leonhard Euler was a Swiss mathematician who made enormous contibutions to a wide range of mathematics and physics including analytic geometry, trigonometry, geometry, calculus and number theory. 点击照片看详细介绍 Dirichlet proved in 1826 that in any arithmetic progression with first term coprime to the difference there are infinitely many primes. He introduced the notion of an ideal which is fundamental to ring theory. 点击照片看详细介绍 Dedekind's major contribution was a redefinition of irrational numbers in terms of Dedekind cuts. 点击照片看详细介绍 Darboux made important contributions to differential geometry and analysis and the Darboux integral is named after him. He studied the equilibrium and motion of fluids. 点击照片看详细介绍 Jean d'Alembert was a a French mathematician who was a pioneer in the study of differential equations and their use of in physics. He also researched in convergence and divergence of infinite series, differential equations, determinants, probability and mathematical physics. 点击照片看详细介绍 Cauchy pioneered the study of analysis, both real and complex, and the theory of permutation groups. He also advanced the study of trigonometric series. 点击照片看详细介绍 Cantor founded set theory and introduced the concept of infinite numbers with his discovery of cardinal numbers. He also gave examples of 1-1 correspondences between the elements of an infinite set and the elements of a proper subset. ![]() 点击照片看详细介绍 Bolzano successfully freed calculus from the concept of the infinitesimal. He was an early user of polar coordinates and discovered the isochrone. He studied the catenary, the curve of a suspended string. 点击照片看详细介绍 Jacob Bernoulli was a Swiss mathematician who was the first to use the term integral. He was also a thoroughly practical man who invented a wide variety of machines including pulleys and the Archimidean screw pumping device. His contributions in geometry revolutionised the subject and his methods anticipated the integral calculus 2,000 years before Newton and Leibniz. 点击照片看详细介绍 Archimedes was the greatest mathematician of his age. ![]() In 1824 Abel proved the impossibility of solving algebraically the general equation of the fifth degree.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |